Search a number
-
+
5422435307442 = 23231157143943013
BaseRepresentation
bin100111011101000001001…
…0101001000111110110010
3201012101020211200012102200
41032322002111020332302
51202320121414314232
615311010555124030
71066521000425556
oct116720225107662
921171224605380
105422435307442
11180070740645a
12736aa2743616
133044447a884a
1414a639441866
15960b3a8377c
hex4ee82548fb2

5422435307442 has 96 divisors (see below), whose sum is σ = 12213608509440. Its totient is φ = 1736783268480.

The previous prime is 5422435307431. The next prime is 5422435307453. The reversal of 5422435307442 is 2447035342245.

It is a happy number.

5422435307442 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 4 + 3 + 530 + 74 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (5422435307431) and next prime (5422435307453).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126043528 + ... + 126086540.

It is an arithmetic number, because the mean of its divisors is an integer number (127225088640).

Almost surely, 25422435307442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5422435307442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106804254720).

5422435307442 is an abundant number, since it is smaller than the sum of its proper divisors (6791173201998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5422435307442 is a wasteful number, since it uses less digits than its factorization.

5422435307442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44648 (or 44645 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 45.

The spelling of 5422435307442 in words is "five trillion, four hundred twenty-two billion, four hundred thirty-five million, three hundred seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 157 186 279 314 471 558 942 1413 1439 2826 2878 4317 4867 8634 9734 12951 14601 25902 29202 43013 43803 44609 86026 87606 89218 129039 133827 225923 258078 267654 387117 401481 451846 677769 774234 802962 1333403 1355538 2033307 2666806 4000209 4066614 6753041 7003613 8000418 12000627 13506082 14007226 20259123 21010839 24001254 40518246 42021678 60777369 61895707 63032517 121554738 123791414 126065034 185687121 209344271 371374242 418688542 557061363 628032813 1114122726 1256065626 1884098439 1918766917 3768196878 3837533834 5756300751 9717625999 11512601502 17268902253 19435251998 29152877997 34537804506 58305755994 87458633991 174917267982 301246405969 602492811938 903739217907 1807478435814 2711217653721 5422435307442